ISSN 1000-3665 CN 11-2202/P
    阳吉宝. 基于尖点突变模型确定静载试验的基桩极限承载力[J]. 水文地质工程地质,2024,51(5): 114-123. DOI: 10.16030/j.cnki.issn.1000-3665.202308052
    引用本文: 阳吉宝. 基于尖点突变模型确定静载试验的基桩极限承载力[J]. 水文地质工程地质,2024,51(5): 114-123. DOI: 10.16030/j.cnki.issn.1000-3665.202308052
    YANG Jibao. Determination of ultimate bearing capacity of pile under static load test based on cusp catastrophe model[J]. Hydrogeology & Engineering Geology, 2024, 51(5): 114-123. DOI: 10.16030/j.cnki.issn.1000-3665.202308052
    Citation: YANG Jibao. Determination of ultimate bearing capacity of pile under static load test based on cusp catastrophe model[J]. Hydrogeology & Engineering Geology, 2024, 51(5): 114-123. DOI: 10.16030/j.cnki.issn.1000-3665.202308052

    基于尖点突变模型确定静载试验的基桩极限承载力

    Determination of ultimate bearing capacity of pile under static load test based on cusp catastrophe model

    • 摘要: 利用静载试验的荷载-沉降曲线确定基桩极限承载力的分析方法很多,但至今尚未找到合理、有理论依据的确定基桩极限承载力的评判方法。因此,尝试利用尖点突变模型分析基桩静载试验的荷载-沉降曲线来评判基桩极限承载力;利用Matlab软件直接拟合静载试验的荷载-沉降曲线,以突变特征值为评价标准,确定基桩极限承载力。研究表明:(1)对比分析目前常用的尖点突变模型求解方法与文章提出的直接拟合法,发现目前常用的一般求解法存在不稳定性、误判等不足,评判结果与静载试验实际情形不符;(2)直接拟合法求得的势函数具有唯一性、首位性、单调性等特征,计算结果与基桩静载试验的实际情况相符,解决了一般求解法存在不稳定性、误判等问题,且比现行基桩检测规范计算结果更为安全。研究结果为较大直径基桩在缓变形情形下,以0.05D桩顶沉降量为标准确定基桩极限承载力提供了理论依据。

       

      Abstract: There are many analysis methods to determine the ultimate bearing capacity of single pile by using the load-settlement curve obtained from the static load test, but so far, reasonable and theoretical calculation method to solve the ultimate bearing capacity of single pile has not been found. Therefore, the cusp catastrophe model was used to attempt to analyze the load-settlement curve obtained from the static load test so as to evaluate the ultimate bearing capacity of single pile. Through using Matlab software to directly fit the load-settlement curve obtained from the static load test with the evaluation standard of the sudden change characteristic value, the ultimate bearing capacity of the single pile was determined. The results show that: (1) comparing and analyzing the widely used methods for solving the cusp mutation model with the direct fitting method proposed in the present study, the widely used solution methods have shortcomings such as instability and misjudgment, and the evaluation results do not match the actual situation of static load tests. (2) The potential function obtained by direct fitting method is characterized by uniqueness, primacy, and monotonicity, whose calculation results are consistent with the actual situation of the static load test of the single pile. The dirrect fitting method solved the problems of instability and misjudgment existing in the general solution method. Compared to the current pile detection code, the calculation results from direct fitting method are safer. The direct fitting method presented in this study provides a theoretical basis for determining the ultimate bearing capacity of larger diameter piles under slow deformation conditions using 0.05D of pile top settlement as the standard.

       

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